7456121761 has 24 divisors (see below), whose sum is σ = 8648277120. Its totient is φ = 6410521920.

The previous prime is 7456121753. The next prime is 7456121773. The reversal of 7456121761 is 1671216547.

It is not a de Polignac number, because 7456121761 - 2³ = 7456121753 is a prime.

It is a super-2 number, since 2×7456121761² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7456121731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232636 + ... + 262738.

It is an arithmetic number, because the mean of its divisors is an integer number (360344880).

Almost surely, 2^7456121761 is an apocalyptic number.

It is an amenable number.

7456121761 is a deficient number, since it is larger than the sum of its proper divisors (1192155359).

7456121761 is a wasteful number, since it uses less digits than its factorization.

7456121761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30237 (or 30226 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The square root of 7456121761 is about 86348.8376354888. The cubic root of 7456121761 is about 1953.6090743194.

The spelling of 7456121761 in words is "seven billion, four hundred fifty-six million, one hundred twenty-one thousand, seven hundred sixty-one".